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Finding the Fourth Proportional to 2,854.74, 4,284.03 and 1,005.87

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Solution

The fourth proportional to 2,854.74, 4,284.03 and 1,005.87 is: 1,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.74 : 4,284.03 = 1,005.87 : x
  2. Step 2: Convert to fraction form
    2,854.74/4,284.03 = 1,005.87/x
  3. Step 3: Cross multiply
    2,854.74x = 4,284.03 × 1,005.87
  4. Step 4: Simplify right side
    2,854.74x = 4,309,177.26
  5. Step 5: Solve for x
    x = 4,309,177.26/2,854.74
  6. Step 6: Final answer
    x = 1,509.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.